The optimum elastic wave band gaps in three dimensional phononic crystals with local resonance

Abstract

Using multiple-scattering theory, we investigate the optimization of the elastic wave band gaps of three dimensional three-component phononic crystals with local resonance. The optimum gaps of two systems including Au spheres coated with Pb embedded in Si matrix and Pb spheres coated with plastic embedded in Si matrix are obtained by tuning the ratio of the inner and the outer radii of the coating layers. It also shows that the elastic wave band gaps for the two systems versus the filling fractions and the radius ratio display different features.